## Herschel Tracks

For general discussion about Conway's Game of Life.
Eylrid
Posts: 30
Joined: October 8th, 2009, 10:28 pm

### Herschel Tracks

I think the next thing I want to learn about is Herschel Tracks: How they work, how they're used, and what they can do.

calcyman
Posts: 2197
Joined: June 1st, 2009, 4:32 pm

### Re: Herschel Tracks

Herschel tracks are components built solely out of still-lifes. They are used to direct an object called a Herschel (hence the name).

Here is an example of a circular Herschel loop composed of just one conduit:

Code: Select all

``````x = 83, y = 83, rule = S23/B3
38bo\$37bobo\$37bobo\$36boob3o\$42bo\$36boob4obbo\$36boobo3b3o\$42bo\$14boo26b
oo\$15bo\$15bobo47boo\$16boo47bo\$66bo\$65boo\$74bo\$72b3o\$10boboo57bo\$10boob
o57boo\$\$19boo41boo\$19boo41boo5\$31boo3boo\$32bo3bo\$29b3o5b3o12boo\$29bo9b
o12bo\$27bobo23b3o\$27boo26bo\$55bobo\$56boo4\$56boo18boobo\$5boo48bobo18boo
b3o\$6bo48bo26bo\$6bobo45boo20boob3o\$4booboo68bobo\$3bobo71bobo\$3bobo68b
ooboo\$b3oboo20boo45bobo\$o26bo32b3o13bo\$b3oboo18bobo33bo14boo\$3boboo18b
oo34b3o4\$25boo\$25bobo\$27bo26boo\$27b3o23bobo\$30bo12bo9bo\$29boo12b3o5b3o
\$46bo3bo\$45boo3boo5\$19boo41boo\$19boo41boo\$\$10boo57boboo\$11bo57boobo\$8b
3o\$8bo\$16boo\$16bo\$17bo47boo\$16boo47bobo\$67bo\$39boo26boo\$40bo\$37b3o3bob
oo\$37bobb4oboo\$40bo\$41b3oboo\$43bobo\$43bobo\$44bo!``````
Why use Herschel tracks? One advantage of Herschel tracks over p30 circuitry is that no synchronisation is required. This can be used to make prime-period oscillators.

Herschel tracks form the basis of many stable reflectors. A basic stable reflector is shown below:

Code: Select all

``````x = 81, y = 64, rule = B3/S23
33bo\$31b3o\$5b2o23bo\$6bo23b2o\$6bobo\$7b2o2b2o37bo\$11b2o35b3o15bo9bo\$47bo
18b3o5b3o\$34b2o11b2o20bo3bo\$34b2o32b2o3b2o3\$75bo\$75bobo\$75b2o3\$5b2o52b
2o\$4bobo16b2o34b2o\$4bo18bobo45b2o\$3b2o20bo44bo2bo\$19b2o4b2o44b2o4b2o\$
19bobo55bobo\$21bo57bo\$12b2o7b2o56b2o\$12b2o20b2o33b2o\$35bo34bo\$32b3o32b
3o\$32bo34bo4\$2b2o\$3bo\$3bobo\$4b2o4\$23bo\$21b3o\$20bo\$20b2o10\$2o\$2o9\$15b2o
\$15b2o!``````
This one was found in 1998 by Stephen Silver, and is the smallest 90° reflector (the only stable reflector record that I don't hold!)

You should be able to follow its operation quite easily. The incoming glider hits a beehive, which results in the eventual production of a Herschel. Miraculously, the beehive is restored.

However, an extra beehive has been created. The purpose of the remainder of the device is to delete the spurious beehive, thus restoring the reflector to its original state.

It has a recovery time of 497, which makes it the third fastest 90° reflector.

The fastest reflector, with a recovery time of 466, is slightly larger. This one was found by myself, and uses a staged-recovery system:

Code: Select all

``````x = 100, y = 80, rule = B3/S23
80b2o\$80b2o5b2o\$87b2o\$51b2o\$52bo\$39bo11bo14b2o17b2o\$39b3o9b2o14bo17b2o
\$42bo24bobo21b2o\$29b2o10b2o25b2o21b2o\$4bo9bo15bo\$4b3o5b3o15bobo\$o6bo3b
o19b2o\$b2o3b2o3b2o41b2o\$2o52b2o7\$20b2o\$20b2o23b2o\$8b2o35bo\$7bo2bo35b3o
\$2b2o4b2o38bo\$bobo\$bo\$2o\$10b2o\$10bo\$11b3o84b2o\$13bo84bo\$96bobo\$96b2o\$
72b2o\$36bo35b2o\$36b3o\$39bo\$38b2o\$19bo\$19b3o\$22bo51b2o\$21bo15b2o36bo\$
21b2o14b2o33b3o\$17b2o53bo\$18bo29b2o23b2o\$18bobo27bobo23bo\$19b2o29bo23b
obo\$50b2o23b2o\$46b2o43bo\$47bo41b3o\$46bo41bo\$13b2o32b3o38b2o\$13b2o34bo\$
29b2o\$29bo\$30b3o\$2b2o28bo8b2o14bo9bo\$3bo23b2o12bobo13b3o5b3o\$3bobo21bo
15bo16bo3bo\$4b2o19bobo15b3o13b2o3b2o\$25b2o19bo\$45b2o\$95b2o\$95b2o4\$42b
2o46b2o\$42b2o46b2o\$94b2o\$94b2o2\$13b2o\$9b2o2b2o73b2o\$8bobo62b2o13b2o\$8b
o23b2o19bo6b2o11bobo\$7b2o23bo18b3o6b2o13bo\$33b3o14bo24b2o\$35bo14b2o!``````
It has a more complex operational cycle, and I shall not bore you with the details. You can read all about it on pentadecathlon.com.
What do you do with ill crystallographers? Take them to the mono-clinic!

Eylrid
Posts: 30
Joined: October 8th, 2009, 10:28 pm

### Re: Herschel Tracks

Thank you. Is there a library of Herschel Conduits somewhere?

calcyman
Posts: 2197
Joined: June 1st, 2009, 4:32 pm

### Re: Herschel Tracks

Thank you. Is there a library of Herschel Conduits somewhere?
Good point. Dave Greene and I are making a pattern collection of stable technology, which includes Herschel conduits.

There are 22 elementary Herschel conduits, five of which use boojum reflectors.

Here are the remaining 17: (You will require Golly to view this pattern.)

Code: Select all

``````x = 282, y = 304, rule = LifeHistory
11\$119.A\$119.3A\$122.A\$121.2A\$113.BCB5.6B\$113.B3C6.5B14.4B\$114.3BC4.7B
12.5B\$115.B2CB2.8B10.7B\$116.14B2.2B2.10B\$117.22BD6B\$113.2A3.21BDBD4B\$
114.A4.20B3D4B\$114.A.AB.22BD4B\$115.2A28B\$116.17B.3B\$118.19B\$109.A10.
16B\$109.3A8.15B\$112.A7.14B\$111.2A3.B3.13B\$111.8B.12B49.2A\$73.A39.18B
51.A\$73.3A37.17B39.A11.A\$73.3BA35.17B40.3A9.2A\$74.B2AB32.18B44.A9.B\$
75.4B29.19B32.2A10.2A9.3B19.4B\$56.A19.4B28.2BC15B34.A10.5B5.6B16.5B\$
56.3A12.B.3B.4B27.2BCBC4B.9B33.A.AB9.4B3.10B11.7B\$59.A10.18B20.2B3C4B
2.7B35.2AB.3B4.6B2.11B3.2B2.10B\$58.2A3.B5.2B2A11BD4B19.4BC4B4.5B37.7B
.13B2A15BD6B\$58.8B3.2B2A9B3D4B19.8B3.5B39.21B2A15BDBD4B\$60.8B.13BDBD
4B30.2A43.37B3D4B\$60.22BD6B31.A42.40BD4B\$59.15B.2B2.10B28.3A41.46B\$
57.17B8.7B28.A41.18B.B3.13B.4B\$55.18B11.5B70.2BC13B7.7B.B5.3B\$55.2BC
15B12.4B69.3BCBC4B.6B19.4B\$54.3BCBC4B.7B87.2B3C4B2.B.5B17.2A\$55.2B3C
13B85.5BC4B7.2A18.A\$54.5BC14B83.10B8.A16.3A\$53.10B2.8B83.4B16.3A13.A\$
52.4B11.6B83.3B19.A\$51.4B12.5B82.4B\$50.4B14.4B82.2A\$49.B2AB15.3B84.A\$
48.3BA17.4B79.3A\$48.3A20.2A79.A\$48.A22.A\$72.3A\$74.A5\$109.3B\$109.5B\$
108.6B\$108.8B\$108.8B7.2A63.A\$102.B4.9B8.A63.3A\$97.7B3.11B5.A67.A\$96.
9B2.13B3.2A65.2A4.2B\$93.13B.13B4.B61.B3.8B\$91.28B5.3B19.4B34.4B4.7B\$
89.5BD25B3.6B16.5B33.6B.9B\$89.5BDBD23B2.10B11.7B33.6B.10B\$89.5B3DB2A
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7B\$98.24B2.13B.4B36.2BC21B3.2B2.10B\$97.25B2.7B.B4.4B36.3BCBC4B.24BD6B
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23B3D4B\$15.2A24.A14.3A35.4B4.18B.B12.4B38.10B4.24BD4B\$16.A13.2A6.3A
18.A33.4B6.18B2A10.4B38.4B10.29B\$16.A.AB9.B2A2B4.A18.B2AB31.4B7.18B2A
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5.3B\$19.7B2.11B7.7B.B4.4B27.4B10.B2.3B.11B8.4B38.4B14.9B6.4B\$19.22B.B
3.13B.4B26.3B14.2A2.9B9.4B38.4B14.11B5.2A\$20.51B17.2A2B16.A3.7B9.4B
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29.2A7.A40.4B21.2A7.2A\$15.2BC30B2A15BD6B45.A7.2A\$14.3BCBC4B.30B3.2B2.
10B46.3A\$15.2B3C4B2.16B2.10B11.7B48.A\$14.5BC4B2.7B.4B7.6B16.5B\$13.10B
4.6B2.2B9.3B19.4B\$12.4B11.6B13.B\$11.4B13.3B14.2A\$10.4B12.7B12.A\$9.B2A
B13.2A.B.2A13.A\$8.3BA15.A3.A13.2A93.B\$8.3A13.3A5.3A105.2B\$8.A15.A9.A
105.3B\$140.4B\$141.4B19.2A\$142.4B18.A\$143.4B18.A\$144.4B16.2A40.4B\$145.
4B15.B8.A6.A25.5B17.2B\$139.4B3.4B12.3B6.3A5.A.A24.7B10.3B.4B\$139.5B3.
4B9.6B4.A8.A.A24.10B2.2B2.9B6.A\$139.7B2.4B5.10B3.2A6.2A.3A22.6BD20B3.
A.A\$139.14B3.16B7.B4.A21.4BDBD20B3.A.A\$139.6BD15B2A7B8.2AB3A22.4B3D9B
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38B37.4B6.10B\$41.A56.4B45.18B.12B38.4B5.9B\$40.A55.7B45.31B4.2A32.4B5.
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BA.A35.23B\$37.A2.4A7.A42.13B40.9B2.21B.B2A38.22B\$37.A.A4.A6.2A41.14B
40.33B40.23B\$35.3A.2A2.2A4.4B40.16B41.31B41.22B.2B\$34.A4.B8.3B41.17B
41.31B40.25B2A\$31.A2.4AB2AB5.4B41.18B41.28B40.25B.B2A\$31.3A3.A.2AB.2B
.4B.B39.19B39.21B.7B39.26B3.B\$34.A4.10B.3B38.20B36.19B5.6B40.2BC22B\$
33.2AB4.12B3.2B28.B6.20B35.2BC15B7.6B38.3BCBC4B.15B\$33.5B.20B26.2B3.
21B35.3BCBC4B.7B8.5B40.2B3C4B2.14B\$35.25B25.3B2.21B36.2B3C4B2.6B9.2B
41.5BC4B3.4B3.4B\$33.28B24.4B.19B37.5BC4B3.6B7.2A41.10B5.5B2.2B\$33.28B
25.4B.17B37.10B6.4B7.A41.4B15.2A\$32.28B27.21B36.4B12.B2A2B8.A39.4B16.
A\$32.31B25.20B35.4B14.2A.B2A5.2A38.4B18.3A\$33.26BD4B22.21B35.4B18.BA.
A44.3B21.A\$32.25B3D4B22.2BC18B34.4B22.A44.2B\$30.20B2.5BDBD4B21.3BCBC
14B35.4B23.2A43.B\$28.19B5.5BD6B22.2B3C13B36.3B\$28.2BC16B5.12B21.5BC
13B36.2B\$27.3BCBC4B.9B6.3B.7B20.20B36.B\$28.2B3C4B2.7B13.5B19.4B4.13B\$
27.5BC4B3.5B15.4B18.4B4.4B2.8B\$26.10B5.4B36.4B4.4B4.8B\$25.4B10.4B.B2A
33.4B4.4B6.6B\$24.4B11.2A3.BA.A31.4B4.4B6.6B\$23.4B13.A6.A30.4B4.4B7.7B
\$22.4B11.3A7.2A28.4B4.4B7.9B\$21.4B12.A38.4B4.4B9.9B\$20.4B73.10B\$19.4B
72.19B\$18.4B71.B.2B2A11BD4B\$92.2A3B2A9B3D4B\$92.2A14BDBD4B\$93.15BD6B
136.8B\$91.5B2.B2.2B2.10B135.9B\$91.2A4.3B8.7B135.9B\$92.A4.B2AB9.5B135.
9B\$89.3A6.2A11.4B135.B3D4B\$89.A107.8B45.2BD4B\$197.9B44.2B3D2B\$197.9B
44.6B\$197.9B43.7B\$198.4B3DB42.8B\$199.4BD2B41.8B\$141.8B50.2B3D2B40.9B\$
141.9B50.6B39.4B.6B\$141.9B50.7B37.4B.7B\$141.9B50.8B35.4B2.6B\$142.4B3D
B51.8B33.4B3.6B\$143.4BD2B51.8B32.4B4.6B\$41.B101.2B3D2B50.6B.B.2A37.8B
\$41.2B101.6B50.7B.BA.A37.8B\$41.3B32.2A66.7B50.6B4.A36.9B\$41.4B30.B2AB
65.8B49.6B4.2A35.9B\$42.4B30.3B66.8B48.6B41.10B\$43.4B16.2A12.B67.9B46.
8B40.5B2A3B\$44.4B16.A6.B4.3B65.6B.4B44.8B41.5B2A4B\$45.4B15.A.AB.5B.5B
64.7B.4B43.9B40.11B\$46.4B15.2AB.11B65.6B2.3B43.9B40.12BA.2A\$47.4B16.
14B64.6B3.2B42.10B42.8B2.2A.A\$48.4B15.14B64.6B47.3B2A5B42.7B\$49.4B7.
2A5.14B63.8B45.4B2A5B42.6B\$50.4B5.B2AB5.13B62.8B46.11B36.A.2A2.6B\$51.
4B5.3B5.13B62.9B40.2A.A12B36.2A.A9B\$52.4B3.B.B6.12B63.9B40.A.2A2.8B
43.9B\$53.4B.6B5.13B60.10B47.7B4.2A37.9B\$54.10B4.15B59.3B2A5B48.6B4.A
38.9B\$46.2A7.28B53.2A3.4B2A5B48.6B.BA.A38.9B\$47.A8.28B53.A3.11B47.7B.
B2A38.11B\$47.A.AB6.27B3.2A48.A.A12B48.8B40.11B\$48.2AB.3B2.28B3.A43.2A
4.2A2.8B43.A6.7B41.12B\$50.36B2.A.AB41.A9.7B4.2A37.3A4.7B35.B4.14B\$50.
36B3.A.AB.B38.A.AB7.6B4.A29.A11.A2.7B4.B26.7B3.10B.4B\$51.34B5.A3B2A
38.2AB.3B3.6B.BA.A29.3A8.2A3.6B.B.2BA24.9B2.16B\$50.33B6.3B.B2A40.14B.
B2A33.A7.15BA.A20.13B.17B\$48.31B10.2B3.B41.16B34.2A3.B5.12B.BA19.29B.
4B\$46.19B3.12B.2B.3B.4B45.14B35.8B2.13B20.5BD25B2.4B\$46.2BC15B5.30B
37.16B36.21B20.5BDBD23B3.4B\$45.3BCBC4B.7B6.13B2A11BD4B34.18B36.20B21.
5B3DB2A21B3.3B\$46.2B3C4B2.6B7.12B2A9B3D4B32.19B36.19B23.7BDB2A21B4.2B
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3BCBC4B.7B34.24B28.26B\$43.4B12.B2A2B6.2A.11B2.2B2.10B32.2B3C4B2.6B34.
2BC14B4.4B29.B2.20B\$42.4B14.2A.B2A5.A2.9B10.7B31.5BC4B3.6B32.3BCBC4B.
6B6.B2AB30.20B.B.B\$41.4B18.BA.A.3A3.9B12.5B30.10B6.4B33.2B3C4B2.B.5B
5.A3B28.24B2A\$41.3B22.A.A4.8B15.4B29.4B12.B2A2B32.5BC4B7.2A6.3A27.25B
2A\$41.2B23.2A4.2AB.4B48.4B14.2A.B2A30.9B8.A9.A26.4B.5B2.12B.2B\$41.B
29.A.AB.2B2AB46.4B18.BA.A27.4B16.3A32.4B2.4B3.13B\$71.A6.2A46.4B22.A
49.A31.4B12.11B.B\$70.2A53.4B23.2A79.4B13.12B2A\$124.4B50.2A52.4B14.10B
.B2A\$179.A51.4B13.2AB.6B4.B\$176.3A51.4B13.A.AB.4B\$176.A70.A5.5B\$246.
2A8.2A\$256.A\$257.3A\$259.A7\$217.A\$216.A.A\$216.A.A\$214.3A.2A6.A\$213.A4.
B5.3A\$214.3AB2A3.A\$154.A61.A.2A.B.2A\$105.2A46.A.A62.7B\$86.4B14.B2A2B
3.2A39.A.A63.4B\$87.4B14.4B2.B2AB36.3A.2A8.2B51.6B\$88.4B9.B.6B3.2B36.A
4.B8.3B49.B.6B\$89.4B6.10B2.2B34.A2.4AB2AB5.5B47.9B4.2A\$90.4B5.11B2A2B
33.3A3.A.2AB.2B.6B46.10B4.A\$91.4B3.12B2A3B.B33.A4.14B42.13B.BA.A\$92.
4B2.18B2A31.2AB4.14B7.2A31.14B.B2A\$93.4B2.15B.B2A31.5B.15B7.A32.16B\$
94.19B3.B34.22B.BA.A32.15B\$95.18B36.24B.B2A33.16B\$94.18B37.26B33.18B\$
94.2BC15B36.27B31.19B\$93.3BCBC4B.7B37.27B31.2BC16B\$94.2B3C4B2.6B38.
27B29.3BCBC14B\$93.5BC5B.7B36.20B.8B2.2A.A23.2B3C15B\$92.13B.6B34.20B.
12BA.2A22.5BC15B.B\$91.4B7.9B33.19B4.11B26.23B2A\$90.4B9.8B33.2BC16B4.
5B2A4B25.4B6.14B2A\$89.4B11.8B31.3BCBC4B.9B4.5B2A3B25.4B8.14B\$88.4B13.
7B32.2B3C4B2.7B5.10B24.4B8.15B\$87.4B15.6B31.5BC4B3.5B6.9B24.4B9.11B\$
86.4B16.2B3D2B29.10B5.3B7.9B23.4B10.12B\$85.4B17.2BD4B28.4B10.7B6.8B
22.4B11.12B\$106.B3D4B26.4B11.2A.B.2A5.8B22.4B12.12B\$106.9B24.4B13.A3.
A7.6B25.B12.14B\$106.9B23.4B11.3A5.3A4.6B31.A.2A2.15B\$106.9B22.4B12.A
9.A4.6B31.2A.A12B2.3B\$107.8B21.4B23.A.AB.7B35.11B2.3B2A\$164.2AB2.6B
35.4B2A5B4.A2BA2.2A\$166.8B37.3B2A5B4.ABAB3.A2.A\$166.8B37.10B5.A4B.A.A
.A\$167.8B37.9B7.B2A.A2.A\$168.7B37.9B7.BAB.A\$169.6B37.8B6.A4.A\$169.2B
3D2B37.8B5.5A\$169.2BD4B38.6B\$169.B3D4B37.6B4.5A\$169.9B36.6B4.A3.A\$
169.9B35.7B.BA.A2.A\$169.9B35.6B2.B2A3.2A\$170.8B36.8B\$214.8B\$213.8B\$
213.7B\$213.6B\$212.2B3D2B\$212.4BD2B\$211.4B3DB\$210.9B\$210.9B\$210.9B\$
210.8B!``````

I made one of the other five quite recently. It's undoubtably the largest, slowest and messiest 'elementary' conduit ever conceived:

Code: Select all

``````x = 131, y = 90, rule = B3/S23
17boo\$17boo42bo\$60bobo\$60bobo\$61bo\$50bo\$50bo\$50b3o\$52bo\$10boo\$9bobo\$9b
o\$8boo4boo\$15bo\$11bobo\$9b3oboo\$8bo\$9b3oboo\$11boboo\$\$9bo\$9b3o\$12bo\$11bo
bo\$12bo\$\$10bo\$9bobobo\$9bobboo\$8boo3\$14bo\$13bobo\$13boo\$51boo\$7boo42boo\$
8bo\$8bobo\$9boo6\$29boo8boo\$9bo19boo8boobboo\$9bobo31bobo\$9b3o33bo\$11bo
33boo\$26boo\$26boo3\$bboo\$3bo\$3o\$o16boo82bo\$18bo81bobo\$15b3o82bobo\$15bo
85bo12\$110boo\$110boo\$\$92boo\$91bobo\$91bo\$90boo\$121boo\$120bobbobboo\$120b
obo4bo\$101boo18bo5boboo\$100bobo21boobobo\$100bo23bobbobbo\$99boo20bo4bo
bboo\$121b5o\$\$123boobo\$123boboo!``````
What do you do with ill crystallographers? Take them to the mono-clinic!

Alegend
Posts: 31
Joined: October 5th, 2009, 3:20 pm

### Re: Herschel Tracks

calcyman wrote:
Herschel tracks form the basis of many stable reflectors. A basic stable reflector is shown below:

Code: Select all

``````x = 81, y = 64, rule = B3/S23
33bo\$31b3o\$5b2o23bo\$6bo23b2o\$6bobo\$7b2o2b2o37bo\$11b2o35b3o15bo9bo\$47bo
18b3o5b3o\$34b2o11b2o20bo3bo\$34b2o32b2o3b2o3\$75bo\$75bobo\$75b2o3\$5b2o52b
2o\$4bobo16b2o34b2o\$4bo18bobo45b2o\$3b2o20bo44bo2bo\$19b2o4b2o44b2o4b2o\$
19bobo55bobo\$21bo57bo\$12b2o7b2o56b2o\$12b2o20b2o33b2o\$35bo34bo\$32b3o32b
3o\$32bo34bo4\$2b2o\$3bo\$3bobo\$4b2o4\$23bo\$21b3o\$20bo\$20b2o10\$2o\$2o9\$15b2o
\$15b2o!``````
This one was found in 1998 by Stephen Silver, and is the smallest 90° reflector (the only stable reflector record that I don't hold!)

You should be able to follow its operation quite easily. The incoming glider hits a beehive, which results in the eventual production of a Herschel. Miraculously, the beehive is restored.

However, an extra beehive has been created. The purpose of the remainder of the device is to delete the spurious beehive, thus restoring the reflector to its original state.

[/code]
Actually, I hold the record for smallest 90 degree glider reflector.

XOXXX
XXOXX
OOOXX
XXXOX
XXXXO

Beat that!

Eylrid
Posts: 30
Joined: October 8th, 2009, 10:28 pm

### Re: Herschel Tracks

calcyman wrote:
Thank you. Is there a library of Herschel Conduits somewhere?
Good point. Dave Greene and I are making a pattern collection of stable technology, which includes Herschel conduits.

There are 22 elementary Herschel conduits, five of which use boojum reflectors.

Here are the remaining 17: (You will require Golly to view this pattern.)

Code: Select all

``````x = 282, y = 304, rule = LifeHistory
11\$119.A\$119.3A\$122.A\$121.2A\$113.BCB5.6B\$113.B3C6.5B14.4B\$114.3BC4.7B
12.5B\$115.B2CB2.8B10.7B\$116.14B2.2B2.10B\$117.22BD6B\$113.2A3.21BDBD4B\$
114.A4.20B3D4B\$114.A.AB.22BD4B\$115.2A28B\$116.17B.3B\$118.19B\$109.A10.
16B\$109.3A8.15B\$112.A7.14B\$111.2A3.B3.13B\$111.8B.12B49.2A\$73.A39.18B
51.A\$73.3A37.17B39.A11.A\$73.3BA35.17B40.3A9.2A\$74.B2AB32.18B44.A9.B\$
75.4B29.19B32.2A10.2A9.3B19.4B\$56.A19.4B28.2BC15B34.A10.5B5.6B16.5B\$
56.3A12.B.3B.4B27.2BCBC4B.9B33.A.AB9.4B3.10B11.7B\$59.A10.18B20.2B3C4B
2.7B35.2AB.3B4.6B2.11B3.2B2.10B\$58.2A3.B5.2B2A11BD4B19.4BC4B4.5B37.7B
.13B2A15BD6B\$58.8B3.2B2A9B3D4B19.8B3.5B39.21B2A15BDBD4B\$60.8B.13BDBD
4B30.2A43.37B3D4B\$60.22BD6B31.A42.40BD4B\$59.15B.2B2.10B28.3A41.46B\$
57.17B8.7B28.A41.18B.B3.13B.4B\$55.18B11.5B70.2BC13B7.7B.B5.3B\$55.2BC
15B12.4B69.3BCBC4B.6B19.4B\$54.3BCBC4B.7B87.2B3C4B2.B.5B17.2A\$55.2B3C
13B85.5BC4B7.2A18.A\$54.5BC14B83.10B8.A16.3A\$53.10B2.8B83.4B16.3A13.A\$
52.4B11.6B83.3B19.A\$51.4B12.5B82.4B\$50.4B14.4B82.2A\$49.B2AB15.3B84.A\$
48.3BA17.4B79.3A\$48.3A20.2A79.A\$48.A22.A\$72.3A\$74.A5\$109.3B\$109.5B\$
108.6B\$108.8B\$108.8B7.2A63.A\$102.B4.9B8.A63.3A\$97.7B3.11B5.A67.A\$96.
9B2.13B3.2A65.2A4.2B\$93.13B.13B4.B61.B3.8B\$91.28B5.3B19.4B34.4B4.7B\$
89.5BD25B3.6B16.5B33.6B.9B\$89.5BDBD23B2.10B11.7B33.6B.10B\$89.5B3DB2A
21B.11B3.2B2.10B32.19B\$89.7BDB2A26B2A15BD6B31.19B\$89.37B2A15BDBD4B31.
17B\$89.4B2.48B3D4B32.15B18.4B\$97.B2.45BD4B30.17B17.5B\$99.50B29.21B13.
7B\$98.24B2.13B.4B36.2BC21B3.2B2.10B\$97.25B2.7B.B4.4B36.3BCBC4B.24BD6B
\$96.4B.20B15.4B38.2B3C4B2.23BDBD4B\$40.2A14.A38.4B2.18B16.4B38.5BC4B2.
23B3D4B\$15.2A24.A14.3A35.4B4.18B.B12.4B38.10B4.24BD4B\$16.A13.2A6.3A
18.A33.4B6.18B2A10.4B38.4B10.29B\$16.A.AB9.B2A2B4.A18.B2AB31.4B7.18B2A
9.4B38.4B12.16B.4B\$17.2AB.3B6.4B.3B20.4B29.4B8.3B3.13B9.4B38.4B13.12B
5.3B\$19.7B2.11B7.7B.B4.4B27.4B10.B2.3B.11B8.4B38.4B14.9B6.4B\$19.22B.B
3.13B.4B26.3B14.2A2.9B9.4B38.4B14.11B5.2A\$20.51B17.2A2B16.A3.7B9.4B
38.4B16.7B.B2A5.A\$19.48BD4B15.A.AB14.3A5.4B10.2A2B38.4B19.4B2.BA.A.3A
\$17.48B3D4B15.A17.A8.5B7.A.AB38.4B19.B2A2B5.A.A\$15.33B2A15BDBD4B14.2A
29.2A7.A40.4B21.2A7.2A\$15.2BC30B2A15BD6B45.A7.2A\$14.3BCBC4B.30B3.2B2.
10B46.3A\$15.2B3C4B2.16B2.10B11.7B48.A\$14.5BC4B2.7B.4B7.6B16.5B\$13.10B
4.6B2.2B9.3B19.4B\$12.4B11.6B13.B\$11.4B13.3B14.2A\$10.4B12.7B12.A\$9.B2A
B13.2A.B.2A13.A\$8.3BA15.A3.A13.2A93.B\$8.3A13.3A5.3A105.2B\$8.A15.A9.A
105.3B\$140.4B\$141.4B19.2A\$142.4B18.A\$143.4B18.A\$144.4B16.2A40.4B\$145.
4B15.B8.A6.A25.5B17.2B\$139.4B3.4B12.3B6.3A5.A.A24.7B10.3B.4B\$139.5B3.
4B9.6B4.A8.A.A24.10B2.2B2.9B6.A\$139.7B2.4B5.10B3.2A6.2A.3A22.6BD20B3.
A.A\$139.14B3.16B7.B4.A21.4BDBD20B3.A.A\$139.6BD15B2A7B8.2AB3A22.4B3D9B
2A9B2.2A.3A\$94.4B41.4BDBD15B2A9B.2B3.2A.A24.4BD11B2A9B3.B4.A\$95.4B40.
4B3D34B27.25B2.B2AB3A\$96.4B39.4BD34B36.4B.3B.10B.B2A.A\$40.2A55.4B39.
38B37.4B6.10B\$41.A56.4B45.18B.12B38.4B5.9B\$40.A55.7B45.31B4.2A32.4B5.
10B\$40.2A12.A39.9B44.31B5.A34.3B5.12B.3B\$38.2A12.3A38.11B43.9B2.20B2.
BA.A35.23B\$37.A2.4A7.A42.13B40.9B2.21B.B2A38.22B\$37.A.A4.A6.2A41.14B
40.33B40.23B\$35.3A.2A2.2A4.4B40.16B41.31B41.22B.2B\$34.A4.B8.3B41.17B
41.31B40.25B2A\$31.A2.4AB2AB5.4B41.18B41.28B40.25B.B2A\$31.3A3.A.2AB.2B
.4B.B39.19B39.21B.7B39.26B3.B\$34.A4.10B.3B38.20B36.19B5.6B40.2BC22B\$
33.2AB4.12B3.2B28.B6.20B35.2BC15B7.6B38.3BCBC4B.15B\$33.5B.20B26.2B3.
21B35.3BCBC4B.7B8.5B40.2B3C4B2.14B\$35.25B25.3B2.21B36.2B3C4B2.6B9.2B
41.5BC4B3.4B3.4B\$33.28B24.4B.19B37.5BC4B3.6B7.2A41.10B5.5B2.2B\$33.28B
25.4B.17B37.10B6.4B7.A41.4B15.2A\$32.28B27.21B36.4B12.B2A2B8.A39.4B16.
A\$32.31B25.20B35.4B14.2A.B2A5.2A38.4B18.3A\$33.26BD4B22.21B35.4B18.BA.
A44.3B21.A\$32.25B3D4B22.2BC18B34.4B22.A44.2B\$30.20B2.5BDBD4B21.3BCBC
14B35.4B23.2A43.B\$28.19B5.5BD6B22.2B3C13B36.3B\$28.2BC16B5.12B21.5BC
13B36.2B\$27.3BCBC4B.9B6.3B.7B20.20B36.B\$28.2B3C4B2.7B13.5B19.4B4.13B\$
27.5BC4B3.5B15.4B18.4B4.4B2.8B\$26.10B5.4B36.4B4.4B4.8B\$25.4B10.4B.B2A
33.4B4.4B6.6B\$24.4B11.2A3.BA.A31.4B4.4B6.6B\$23.4B13.A6.A30.4B4.4B7.7B
\$22.4B11.3A7.2A28.4B4.4B7.9B\$21.4B12.A38.4B4.4B9.9B\$20.4B73.10B\$19.4B
72.19B\$18.4B71.B.2B2A11BD4B\$92.2A3B2A9B3D4B\$92.2A14BDBD4B\$93.15BD6B
136.8B\$91.5B2.B2.2B2.10B135.9B\$91.2A4.3B8.7B135.9B\$92.A4.B2AB9.5B135.
9B\$89.3A6.2A11.4B135.B3D4B\$89.A107.8B45.2BD4B\$197.9B44.2B3D2B\$197.9B
44.6B\$197.9B43.7B\$198.4B3DB42.8B\$199.4BD2B41.8B\$141.8B50.2B3D2B40.9B\$
141.9B50.6B39.4B.6B\$141.9B50.7B37.4B.7B\$141.9B50.8B35.4B2.6B\$142.4B3D
B51.8B33.4B3.6B\$143.4BD2B51.8B32.4B4.6B\$41.B101.2B3D2B50.6B.B.2A37.8B
\$41.2B101.6B50.7B.BA.A37.8B\$41.3B32.2A66.7B50.6B4.A36.9B\$41.4B30.B2AB
65.8B49.6B4.2A35.9B\$42.4B30.3B66.8B48.6B41.10B\$43.4B16.2A12.B67.9B46.
8B40.5B2A3B\$44.4B16.A6.B4.3B65.6B.4B44.8B41.5B2A4B\$45.4B15.A.AB.5B.5B
64.7B.4B43.9B40.11B\$46.4B15.2AB.11B65.6B2.3B43.9B40.12BA.2A\$47.4B16.
14B64.6B3.2B42.10B42.8B2.2A.A\$48.4B15.14B64.6B47.3B2A5B42.7B\$49.4B7.
2A5.14B63.8B45.4B2A5B42.6B\$50.4B5.B2AB5.13B62.8B46.11B36.A.2A2.6B\$51.
4B5.3B5.13B62.9B40.2A.A12B36.2A.A9B\$52.4B3.B.B6.12B63.9B40.A.2A2.8B
43.9B\$53.4B.6B5.13B60.10B47.7B4.2A37.9B\$54.10B4.15B59.3B2A5B48.6B4.A
38.9B\$46.2A7.28B53.2A3.4B2A5B48.6B.BA.A38.9B\$47.A8.28B53.A3.11B47.7B.
B2A38.11B\$47.A.AB6.27B3.2A48.A.A12B48.8B40.11B\$48.2AB.3B2.28B3.A43.2A
4.2A2.8B43.A6.7B41.12B\$50.36B2.A.AB41.A9.7B4.2A37.3A4.7B35.B4.14B\$50.
36B3.A.AB.B38.A.AB7.6B4.A29.A11.A2.7B4.B26.7B3.10B.4B\$51.34B5.A3B2A
38.2AB.3B3.6B.BA.A29.3A8.2A3.6B.B.2BA24.9B2.16B\$50.33B6.3B.B2A40.14B.
B2A33.A7.15BA.A20.13B.17B\$48.31B10.2B3.B41.16B34.2A3.B5.12B.BA19.29B.
4B\$46.19B3.12B.2B.3B.4B45.14B35.8B2.13B20.5BD25B2.4B\$46.2BC15B5.30B
37.16B36.21B20.5BDBD23B3.4B\$45.3BCBC4B.7B6.13B2A11BD4B34.18B36.20B21.
5B3DB2A21B3.3B\$46.2B3C4B2.6B7.12B2A9B3D4B32.19B36.19B23.7BDB2A21B4.2B
\$45.5BC4B3.6B8.21BDBD4B32.2BC15B35.21B23.33B4.B\$44.10B6.4B6.23BD6B31.
3BCBC4B.7B34.24B28.26B\$43.4B12.B2A2B6.2A.11B2.2B2.10B32.2B3C4B2.6B34.
2BC14B4.4B29.B2.20B\$42.4B14.2A.B2A5.A2.9B10.7B31.5BC4B3.6B32.3BCBC4B.
6B6.B2AB30.20B.B.B\$41.4B18.BA.A.3A3.9B12.5B30.10B6.4B33.2B3C4B2.B.5B
5.A3B28.24B2A\$41.3B22.A.A4.8B15.4B29.4B12.B2A2B32.5BC4B7.2A6.3A27.25B
2A\$41.2B23.2A4.2AB.4B48.4B14.2A.B2A30.9B8.A9.A26.4B.5B2.12B.2B\$41.B
29.A.AB.2B2AB46.4B18.BA.A27.4B16.3A32.4B2.4B3.13B\$71.A6.2A46.4B22.A
49.A31.4B12.11B.B\$70.2A53.4B23.2A79.4B13.12B2A\$124.4B50.2A52.4B14.10B
.B2A\$179.A51.4B13.2AB.6B4.B\$176.3A51.4B13.A.AB.4B\$176.A70.A5.5B\$246.
2A8.2A\$256.A\$257.3A\$259.A7\$217.A\$216.A.A\$216.A.A\$214.3A.2A6.A\$213.A4.
B5.3A\$214.3AB2A3.A\$154.A61.A.2A.B.2A\$105.2A46.A.A62.7B\$86.4B14.B2A2B
3.2A39.A.A63.4B\$87.4B14.4B2.B2AB36.3A.2A8.2B51.6B\$88.4B9.B.6B3.2B36.A
4.B8.3B49.B.6B\$89.4B6.10B2.2B34.A2.4AB2AB5.5B47.9B4.2A\$90.4B5.11B2A2B
33.3A3.A.2AB.2B.6B46.10B4.A\$91.4B3.12B2A3B.B33.A4.14B42.13B.BA.A\$92.
4B2.18B2A31.2AB4.14B7.2A31.14B.B2A\$93.4B2.15B.B2A31.5B.15B7.A32.16B\$
94.19B3.B34.22B.BA.A32.15B\$95.18B36.24B.B2A33.16B\$94.18B37.26B33.18B\$
94.2BC15B36.27B31.19B\$93.3BCBC4B.7B37.27B31.2BC16B\$94.2B3C4B2.6B38.
27B29.3BCBC14B\$93.5BC5B.7B36.20B.8B2.2A.A23.2B3C15B\$92.13B.6B34.20B.
12BA.2A22.5BC15B.B\$91.4B7.9B33.19B4.11B26.23B2A\$90.4B9.8B33.2BC16B4.
5B2A4B25.4B6.14B2A\$89.4B11.8B31.3BCBC4B.9B4.5B2A3B25.4B8.14B\$88.4B13.
7B32.2B3C4B2.7B5.10B24.4B8.15B\$87.4B15.6B31.5BC4B3.5B6.9B24.4B9.11B\$
86.4B16.2B3D2B29.10B5.3B7.9B23.4B10.12B\$85.4B17.2BD4B28.4B10.7B6.8B
22.4B11.12B\$106.B3D4B26.4B11.2A.B.2A5.8B22.4B12.12B\$106.9B24.4B13.A3.
A7.6B25.B12.14B\$106.9B23.4B11.3A5.3A4.6B31.A.2A2.15B\$106.9B22.4B12.A
9.A4.6B31.2A.A12B2.3B\$107.8B21.4B23.A.AB.7B35.11B2.3B2A\$164.2AB2.6B
35.4B2A5B4.A2BA2.2A\$166.8B37.3B2A5B4.ABAB3.A2.A\$166.8B37.10B5.A4B.A.A
.A\$167.8B37.9B7.B2A.A2.A\$168.7B37.9B7.BAB.A\$169.6B37.8B6.A4.A\$169.2B
3D2B37.8B5.5A\$169.2BD4B38.6B\$169.B3D4B37.6B4.5A\$169.9B36.6B4.A3.A\$
169.9B35.7B.BA.A2.A\$169.9B35.6B2.B2A3.2A\$170.8B36.8B\$214.8B\$213.8B\$
213.7B\$213.6B\$212.2B3D2B\$212.4BD2B\$211.4B3DB\$210.9B\$210.9B\$210.9B\$
210.8B!``````

I made one of the other five quite recently. It's undoubtably the largest, slowest and messiest 'elementary' conduit ever conceived:

Code: Select all

``````x = 131, y = 90, rule = B3/S23
17boo\$17boo42bo\$60bobo\$60bobo\$61bo\$50bo\$50bo\$50b3o\$52bo\$10boo\$9bobo\$9b
o\$8boo4boo\$15bo\$11bobo\$9b3oboo\$8bo\$9b3oboo\$11boboo\$\$9bo\$9b3o\$12bo\$11bo
bo\$12bo\$\$10bo\$9bobobo\$9bobboo\$8boo3\$14bo\$13bobo\$13boo\$51boo\$7boo42boo\$
8bo\$8bobo\$9boo6\$29boo8boo\$9bo19boo8boobboo\$9bobo31bobo\$9b3o33bo\$11bo
33boo\$26boo\$26boo3\$bboo\$3bo\$3o\$o16boo82bo\$18bo81bobo\$15b3o82bobo\$15bo
85bo12\$110boo\$110boo\$\$92boo\$91bobo\$91bo\$90boo\$121boo\$120bobbobboo\$120b
obo4bo\$101boo18bo5boboo\$100bobo21boobobo\$100bo23bobbobbo\$99boo20bo4bo
bboo\$121b5o\$\$123boobo\$123boboo!``````
Thank you!